MATLAB: How to generate Combination of special sets and subsets

MATLAB

 a = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325]; %Initial Guess
 Fx(:,:,1) = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325]; 
 Fx(:,:,2) = [125, 150, 175, 200, 225, 250, 275, 300, 325, 100];  % Delete First Column and add to last
 Fx(:,:,3) = [150, 175, 200, 225, 250, 275, 300, 325, 100, 125];  % Delete Second Column and add to last
 Fx(:,:,4) = [175, 200, 225, 250, 275, 300, 325, 100, 125, 150];
 Fx(:,:,5) = [200, 225, 250, 275, 300, 325, 100, 125, 150, 175];
 Fx(:,:,6) = [225, 250, 275, 300, 325, 100, 125, 150, 175, 200];
 Fx(:,:,7) = [250, 275, 300, 325, 100, 125, 150, 175, 200, 225];
 Fx(:,:,8) = [275, 300, 325, 100, 125, 150, 175, 200, 225, 250];
 Fx(:,:,9) = [300, 325, 100, 125, 150, 175, 200, 225, 250, 275];
 Fx(:,:,10)= [300, 325, 100, 125, 150, 175, 200, 225, 250, 275];
 Tx = [Fx(:,:,1),Fx(:,:,2),Fx(:,:,3),Fx(:,:,4),Fx(:,:,5),Fx(:,:,6),Fx(:,:,7),Fx(:,:,8),Fx(:,:,9),Fx(:,:,10)]; % Combine all subsets
 Cx(:,:,1) = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325];
 Cx(:,:,2) = [125, 150, 175, 200, 225, 250, 275, 300, 325];
 Cx(:,:,3) = [150, 175, 200, 225, 250, 275, 300, 325];
 Cx(:,:,4) = [175, 200, 225, 250, 275, 300, 325];
 Cx(:,:,5) = [200, 225, 250, 275, 300, 325];
 Cx(:,:,6) = [225, 250, 275, 300, 325];
 Cx(:,:,7) = [250, 275, 300, 325];
 Cx(:,:,8) = [275, 300, 325];
 Cx(:,:,9) = [300, 325];
 Cx(:,:,10)= [300];
 Tc = [Cx(:,:,1),Cx(:,:,2),Cx(:,:,3),Cx(:,:,4),Cx(:,:,5),Cx(:,:,6),Cx(:,:,7),Cx(:,:,8),Cx(:,:,9),Cx(:,:,10)];
 %Please help me to find Tx and Tc

Best Answer

This is called a circulant matrix. I have written a function that can be found in the File Exchange:
A = [100 125 300 400]
B = circulant(A,-1)
tf = flipud(tril(true(size(B))))
C = B(tf)
CIRCULANT can be downloaded here: http://www.mathworks.com/matlabcentral/fileexchange/22876
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